95086656 has 168 divisors, whose sum is σ = 325465440. Its totient is φ = 27143424.

The previous prime is 95086643. The next prime is 95086699. The reversal of 95086656 is 65668059.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84111 + ... + 85233.

Almost surely, 2^95086656 is an apocalyptic number.

95086656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162732720).

95086656 is an abundant number, since it is smaller than the sum of its proper divisors (230378784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95086656 is a wasteful number, since it uses less digits than its factorization.

95086656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 95086656 is about 9751.2386905459. The cubic root of 95086656 is about 456.4289592324.

The spelling of 95086656 in words is "ninety-five million, eighty-six thousand, six hundred fifty-six".